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Finding the Third Proportional to 14,680,824.75 and 31,487,049

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Solution

The third proportional to 14,680,824.75 and 31,487,049 is: 67,532,599.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,680,824.75 : 31,487,049 = 31,487,049 : x
  2. Step 2: Convert to fraction form
    14,680,824.75/31,487,049 = 31,487,049/x
  3. Step 3: Cross multiply
    14,680,824.75x = 31,487,049 × 31,487,049
  4. Step 4: Simplify right side
    14,680,824.75x = 991,434,254,728,401
  5. Step 5: Solve for x
    x = 991,434,254,728,401/14,680,824.75
  6. Step 6: Final answer
    x = 67,532,599.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.